A bicycle wheel has a diameter of 64.0 cm and a mass of 1.80 kg.Assume that the wheel is a hoop with all the mass concentratedon the outside radius. The bicycle is placed on a stationarystand, and a resistive force of 120 N is applied tangent tothe rim of the tire. (a) What force must be applied by a chainpassing over a 9.00 - cm - diameter sprocket to give the wheel anacceleration of 4.50 rad/s2? (b) What force is required if youshift to a 5.60 - cm - diameter sprocket?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 74P: When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of...
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A bicycle wheel has a diameter of 64.0 cm and a mass of 1.80 kg.
Assume that the wheel is a hoop with all the mass concentrated
on the outside radius. The bicycle is placed on a stationary
stand, and a resistive force of 120 N is applied tangent to
the rim of the tire. (a) What force must be applied by a chain
passing over a 9.00 - cm - diameter sprocket to give the wheel an
acceleration of 4.50 rad/s2? (b) What force is required if you
shift to a 5.60 - cm - diameter sprocket?

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